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what is the theorem for If two congruent angles form a linear pair, they are right angles.
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congruent complements theorem
@amelia_bedelia There is not another theorem for that. In fact, the theorem would be exactly what you have posted and would have to be proved. If two congruent angles form a linear pair, they are right angles. It would be fairly easy to prove because if two adjacent angles have exterior sides which lie in opposite rays (form a linear pair), the angles are supplementary. So, if the two angles are supplementary and congruent, then they are right angles.
Right Angle Theorem
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